| Abstract: |
| We will consider the nonlocal degenerate parabolic equation
\[
u_t=u\Delta u+u\int_{\Omega} |\nabla u|^2,
\]
which arises in evolutionary game theory, and discuss recent results concerning existence of solutions, blow-up and long term behaviour. In particular, we will see how temporal asymptotics may depend on the decay of initial data in a counterintuitive way. |
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